NOTE: Anderson has now identified the English origins of this Edward Garfield, and his work supersedes and corrects much of the information below. Details to be entered from this paper:
Anderson, Robert Charles. 2002. English origin of Edward Garfield of Watertown, Massachusetts. NEHG Register, 156: 327-332.

According to Bond’s Watertown,913 Edward Garfield was “adm. freeman May 6, 1635, Selectman 1638, ’55, and ’62, one of the earliest proprietors. Will dated Dec. 30, 1668, proved July 16, 1672, mentions sons Samuel, Joseph, Benjamin (exec’r); drs. Rebecca Mixer, Abigail Garfield, gr. chil. Sarah Parkhurst, Sarah Garfield, and Ephraim Garfield, and maid Ann. He d. June 14, 1672; Inventory, July 11, 1672 (real estate), £457. 3. 6. He m. (1st), REBECCA _____, the mother of all his children. She d. Ap. 16, 1661, aged 55, and he m. (2d), Sept. 1, 1661, JOHANNA, wid. of Thomas Buckmaster (Buckminster), of Muddy River (Brookline.) Her Will, dated Aug. 6, proved Aug. 17, 1676, mentions drs. Mercy, Dorcas, and Sarah; dr. Elizabeth Spowell, and gr. child Joanna Lawrence; son Jacob, exec’r, Dea. Robert Sanderson and Henry Allen overseers.”

Bond claims that there was an earlier Edward Garfield who “died in Wat., June 14, 1672, aged 97. He was probably the father of Samuel...and Edward....”915 Savage records this earlier Edward from Bond, but says it “seems to me, that Dr. Bond has confused the f. and s. making ea. d. on the same day, and the age of the elder forbidding the likelihood of his being the f. of the ch.”916 So while it is possible that Edward who m. Rebecca, and then Joanna (_____) Buckmaster, had a father Edward, it is more likely that father Edward was simply an error in Bond.